Reconstruction of theSavernake Forest 23-06-2010 formation | |||||

1. |
Draw a circle. Draw and extend the horizontal and vertical centerlines. | ||||

2. |
Construct the inscribed equilateral triangle of circle 1, pointing up. | ||||

3. |
Construct the inscribed equilateral triangle of circle 1, pointing down. | ||||

4. |
Construct a circle passing through the intersections of triangles 2 and 3. | ||||

5. |
Construct the circumscribed hexagon (regular six-sided polygon) of circle 4, pointing up. | ||||

6. |
Draw the six rays of hexagon 5, from the center of circle 1 to the angular points. Number the rays 1 - 6, as shown. These numbers will be used to identify the rays as well as the angular points of hexagon 5. | ||||

7. |
Extend ray 6 nr. 3 up to circle 1. | ||||

8. |
Divide ray 6 nr. 5 into five equal parts. Number the dividing points 1 - 4, as shown. | ||||

9. |
Draw the connecting line between angular points (of hexagon 5) nrs. 3 and 5. Mark the intersection with ray 6 nr. 4 as point "a". | ||||

10. |
Draw four lines, from the dividing points 8 nrs. 1 - 4 passing through point "a" up to the lefthand side of hexagon 5. Extend line nr. 4 up to line 7. | ||||

11. |
Extend ray 6 nr. 1 up to circle 1. | ||||

12. |
Draw the connecting line between angular points nrs. 1 and 5. Mark the intersection with ray 6 nr. 6 as point "b". | ||||

13. |
Draw four lines, from the dividing points 8 nrs. 1 - 4 passing through point "b" up to the righthand side of hexagon 5. Extend line nr. 4 up to line 11. | ||||

14. |
Extend ray 6 nr. 5 up to circle 1. | ||||

15. |
Divide ray 6 nr. 3 into five equal parts. Number the dividing points 1 - 4, as shown. | ||||

16. |
Draw four lines, from the dividing points 15 nrs. 1 - 4 passing through point "a" up to the lower lefthand side of hexagon 5. Extend line nr. 4 up to line 14. | ||||

17. |
Draw the connecting line between angular points nrs. 1 and 3. Mark the intersection with ray 6 nr. 2 as point "c". | ||||

18. |
Draw four lines, from the dividing points 15 nrs. 1 - 4 passing through point "c" up to the upper righthand side of hexagon 5. Extend line nr. 4 up to line 11. | ||||

19. |
Divide ray 6 nr. 1 into five equal parts. Number the dividing points 1 - 4, as shown. | ||||

20. |
Draw four lines, from the dividing points 19 nrs. 1 - 4 passing through point "c" up to the upper lefthand side of hexagon 5. Extend line nr. 4 up to line 7. | ||||

21. |
Draw four lines, from the dividing points 19 nrs. 1 - 4 passing through point "b" up to the lower righthand side of hexagon 5. Extend line nr. 4 up to line 14. | ||||

22. |
Draw two lines, from the top angular point of triangle 2, one to the end-point of line 20 nr. 3, the other to the end-point of line 18 nr. 3. | ||||

23. |
Draw two lines, from the lower lefthand angular point of triangle 2, one to the end-point of line 10 nr. 3, the other to the end-point of line 16 nr. 3. | ||||

24. |
Draw two lines, from the lower righthand angular point of triangle 2, one to the end-point of line 13 nr. 3, the other to the end-point of line 21 nr. 3. | ||||

25. |
Draw a line from dividing point 19 nr. 4 to the end-point of line 20 nr. 1. Mark the intersection with ray 6 nr. 2 as point "d". | ||||

26. |
Draw a line from dividing point 19 nr. 4 to the end-point of line 21 nr. 1. Mark the intersection with ray 6 nr. 6 as point "e". | ||||

27. |
Extend ray 6 nr. 4 sufficiently long, as shown. | ||||

28. |
Draw a line from point "d" to the end-point of line 10 nr. 2, and extend this line up to line 27. | ||||

29. |
Draw a line from point "e" to the end-point of line 16 nr. 2, and extend this line up to line 27. | ||||

30. |
Extend ray 6 nr. 6 sufficiently long. | ||||

31. |
Draw a line from dividing point 15 nr. 4 to the end-point of line 16 nr. 1. Mark the intersection with ray 6 nr. 4 as point "f". | ||||

32. |
Draw a line from point "d" to the end-point of line 13 nr. 2, and extend this line up to line 30. | ||||

33. |
Draw a line from point "f" to the end-point of line 21 nr. 2, and extend this line up to line 30. | ||||

34. |
Extend ray 6 nr. 2 sufficiently long. | ||||

35. |
Draw a line from point "f" to the end-point of line 20 nr. 2, and extend this line up to line 34. | ||||

36. |
Draw a line from point "e" to the end-point of line 18 nr. 2, and extend this line up to line 34. | ||||

37. |
Draw a line from the end-point of line 21 nr. 3 to the end-point of line 18 nr. 1, and extend this line up to line 34. | ||||

38. |
Draw a line from the end-point of line 16 nr. 3 to the end-point of line 20 nr. 1, and extend this line up to line 34. | ||||

39. |
Draw a line from the end-point of line 20 nr. 3 to the end-point of line 13 nr. 1, and extend this line up to line 30. | ||||

40. |
Draw a line from the end-point of line 10 nr. 3 to the end-point of line 21 nr. 1, and extend this line up to line 30. | ||||

41. |
Draw a line from the end-point of line 13 nr. 3 to the end-point of line 16 nr. 1, and extend this line up to line 27. | ||||

42. |
Draw a line from the end-point of line 18 nr. 3 to the end-point of line 10 nr. 1, and extend this line up to line 27. | ||||

43. |
Construct a "two-points" circle (defined by the two end-points of a centerline) between the intersections of circle 1 with lines 27 and 41. | ||||

44. |
Copy circle 43 four times, to the intersections of line 28 with circle 1 and line 42, and to the intersections of line 29 with circle 1 and line 41. | ||||

45. |
Draw two lines, one parallel to line 28, tangent to upper circles 44 at the upper lefthand sides, and one parallel to line 29, tangent to lower circles 44 at the lower righthand sides. Extend both lines up to circle 1. | ||||

46. |
Copy circle 43 to the intersection of lines 41 and 42. | ||||

47. |
Draw two lines, one parallel to line 41, tangent to lower circle 44 and circle 46 at the lower righthand sides, and one parallel to line 42, tangent to lefthand circle 44 and circle 46 at the upper lefthand sides. | ||||

48. |
Construct a circle, passing through the (righthand) intersection of circle 46 and line 27, tangent to lines 47, as shown. | ||||

49. |
Construct a circle concentric to circle 48, tangent to lines 41 and 42. | ||||

50. |
Construct a circle centered at the intersection of line 27 and circle 1, tangent to lines 41 and 42. | ||||

51. |
Construct a circle concentric to circle 1, tangent to circle 50 at the lefthand side. | ||||

52. |
Draw two lines, from the center of circle 46 to the end-points of lines 10 and 16 nrs. 3. | ||||

53. |
Copy circle 43 two times, to the intersections of lines 52 and circle 51. | ||||

54. |
Copy circle 49 two times, to the centers of circles 53. | ||||

55. |
Copy lines 45 and 47, and circles 48, 49, 53 and 54, as a whole two times, while rotating about the center of circle 1 by 120° and 240°, as shown. | ||||

56. |
Circles 1, 48, 49, 53 and 54, hexagon 5, lines 6, 7, 9, 10, 11, 12, 13, 14, 16, 17, 18, 20, 21, 22, 23, 24, 27, 28, 29, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 45 and 47, and pattern 55, are used for the final reconstruction. | ||||

57. |
Remove all parts not present within the formation itself. High resolution dwf-file | ||||

58. |
Colour all areas corresponding to standing... High resolution dwf-file | ||||

59. |
...or to flattened crop, and finish the reconstruction of the Savernake Forest formation of 23-06-2010. High resolution dwf-file | ||||

60. |
Courtesy the Crop Circle Connector Photo by: John Montgomery | The final result, matched with the aerial image. | |||

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Copyright © 2010, Zef Damen, The Netherlands Personal use only, commercial use prohibited. | |||||